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Finding the Fourth Proportional to 73.38, 101.18 and 65.16

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Solution

The fourth proportional to 73.38, 101.18 and 65.16 is: 89.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.38 : 101.18 = 65.16 : x
  2. Step 2: Convert to fraction form
    73.38/101.18 = 65.16/x
  3. Step 3: Cross multiply
    73.38x = 101.18 × 65.16
  4. Step 4: Simplify right side
    73.38x = 6,592.89
  5. Step 5: Solve for x
    x = 6,592.89/73.38
  6. Step 6: Final answer
    x = 89.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.